A ladder 25 feet long is leaning against a wall such that it touches 24 feet high window. How far is the foot of the ladder from the wall?
Answer & explanation
Correct answer: option 4
The correct answer is Option (4) → 7 feet
The wall, the ground and the ladder form a right-angled triangle, with the ladder as the hypotenuse, so Pythagoras’ theorem gives the distance of the foot from the wall.
With the foot \(x\) feet from the wall: \(25^2=24^2+x^2\)
\(x^2=625-576=49\)
\(x=7\) feet
